Fast barycentric rational interpolations for complex functions with some singularities
S Yang, S Xiang - Calcolo, 2023 - Springer
Based on Cauchy's integral formula and conformal maps, this paper presents a new method
for constructing barycentric rational interpolation formulae for complex functions, which may …
for constructing barycentric rational interpolation formulae for complex functions, which may …
Barycentric interpolation formulas for the sphere and the disk
M Chiwere, GB Wright - arXiv preprint arXiv:2410.05439, 2024 - arxiv.org
Spherical and polar geometries arise in many important areas of computational science,
including weather and climate forecasting, optics, and astrophysics. In these applications …
including weather and climate forecasting, optics, and astrophysics. In these applications …
A linear barycentric rational interpolant on starlike domains
JP Berrut, G Elefante - arXiv preprint arXiv:2104.09246, 2021 - arxiv.org
When an approximant is accurate on the interval, it is only natural to try to extend it to several-
dimensional domains. In the present article, we make use of the fact that linear rational …
dimensional domains. In the present article, we make use of the fact that linear rational …
Interpolation by integrals on balls
LB Bruno, G Elefante - arXiv preprint arXiv:2312.10537, 2023 - arxiv.org
In this work we blend interpolation theory with numerical integration, constructing an
interpolator based on integrals over $ n $-dimensional balls. We show that, under …
interpolator based on integrals over $ n $-dimensional balls. We show that, under …
[HTML][HTML] A barycentric trigonometric Hermite interpolant via an iterative approach
G Elefante - Journal of Computational and Applied Mathematics, 2024 - Elsevier
In this work we construct an Hermite interpolant starting from basis functions that satisfy a
Lagrange property. In fact, we extend and generalise an iterative approach, introduced by …
Lagrange property. In fact, we extend and generalise an iterative approach, introduced by …